Abstract
Deep inelastic scattering (DIS) samples a part of the wave function of a hadron in the vicinity of the light cone. Lipatov constructed a spin chain which describes the amplitude of DIS in leading logarithmic approximation. Kharzeev and Levin proposed the entanglement entropy as an observable in DIS [Phys. Rev. D 95, 114008 (2017)], and suggested a relation between the entanglement entropy and parton distributions. Here we represent the DIS process as a local quench in Lipatov’s spin chain and study the time evolution of the produced entanglement entropy. We show that the resulting entanglement entropy depends on time logarithmically, with for , where is the proton mass and is the Bjorken . The central charge of Lipatov’s spin chain is determined here to be ; using the proposed relation between the entanglement entropy and parton distributions, this corresponds to the gluon structure function growing at small as .
- Received 15 October 2021
- Accepted 17 December 2021
DOI:https://doi.org/10.1103/PhysRevD.105.014002
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